Various axiomatic theories of magnitude estimation are presented. The axioms are divided into the following categories: behavioral, in which the primitive relationships are in principle observable by the experimenter; cognitive, in which the primitive relationships are theoretical in nature and deal with subjective relationships that the subject is supposedly using in making his or her magnitud...

A conceptual experimental framework for 0-theory m d the possibility form of fuzzy set theory is presented. The framework is probabilistic and derived from experimental measurements of evidential support. It is used to quantify the probabilistic masses needed in 0-theory and the membership functions used in fuzzy set theory. Instances in which these two different representations of the same exp...

As the complexity of a system increases, in practical application of graph theory, different types of uncertainty are frequently encountered. In an uncertain graph, whether two vertices of the graph are joined cannot be completely determined. Within the framework of uncertainty theory, the concept of Euler index of uncertain graph is proposed. It also gives a method to calculate Euler index of ...

THE WORLD IS DIVIDED into two groups of people: those who divide the world into two groups of people, and those who don't. As I evidently belong to the former, I believe that the nature of various divisions can throw light on what has come to be known as the rise and decline of development economics. Albert Hirschman, in his stimulating contribution to the international symposium on Latin Ameri...

This paper introduces the notions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define independence and conditional independence in terms of factorization of the joint valuation. The definitions of independence and conditional independence in VBS generalize the correspon...

This paper introduces the nolions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define independence and conditional independence in terms of factorization of the joint valuation. The definitions of independence and conditional independence in VBS generalize the correspon...

Many different formal techniques have been developed over the past two decades for dealing with uncertain information for decision making. In this paper we review some of the most important ones, i.e., Bayesian theory of probability, Dempster-Shafer theory of evidence, and fuzzy set theory, describe how they work and in what ways they differ from one another, and show their strength and weaknes...

This paper proposes a method that finds a preference relation on a set of acts from the knowledge of an ordering on events describing the decision-maker's uncertainty and an ordering of consequences of acts, describing the decision maker's preferences. However, contrary to classical approaches to decision theory, this method does not resort to any numerical representation of utility nor uncerta...